How to Find GCF of 3763/849, 1918/329?

GCF of 3763/849, 1918/329

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3763/849, 1918/329 i.e 1/279321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3763/849, 1918/329.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3763/849,1918/329?

Given fractions are 3763/849,1918/329

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3763/849,1918/329, numerators are 3763,1918

Denominators are 849,329

The GCF of 3763,1918 is 1 .

LCM of 849,329 is 279321.

The greatest common factor of 3763/849,1918/329 = [GCF of 3763,1918]/[LCM of 849,329]= 1/279321

Therefore, the GCF of 3763/849,1918/329 is 1/279321.

Greatest Common Factor of 3763,1918

To find the highest common factor of 3763,1918, we have to find the factors of both numbers and list the highest common factor.

The factors of 3763 are 1, 53, 71, 3763

The factors of 1918 are 1, 2, 7, 14, 137, 274, 959, 1918

The HCF of 3763,1918 is 1.

Lets's calculate GCF of 3763,1918

Greatest Common Factor (GCF) of 3763,1918 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3763,1918 By Matching Biggest Common Factor Method

Now, list down the factors of 3763

1,53,71,3763

Now, list down the factors of 1918

1,2,7,14,137,274,959,1918

Greatest Common Factor

We found the factors 3763,1918 . The biggest common factor number is the GCF number.
So the greatest common factor 3763,1918 is 1.

Lets's calculate LCM of 849,329

Lowest Common Multiple of 849,329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 279321

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279321

Therefore, the GCF of Fractions 3763/849,1918/329 is 1/279321

Least Common Multiple of 849,329 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 849,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,329) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(849,329) x common factors =1 x 1 = 1

LCM(849,329) = ( 849 × 329 ) / 1

LCM(849,329) = 279321 / 1

LCM(849,329) = 279321

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FAQs on GCF of Fractions of 3763/849, 1918/329

1. What is the HCF of 3763,1918?

The HCF of 3763,1918 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3763/849, 1918/329?

Answer: GCF of Numerators as per given numbers 3763/849, 1918/329 is

GCF of Numerators i.e. for 3763,1918 is 1

LCM of denominators i.e. for 849,329 is 279321.

Thus, GCF of Fractions is 1/279321.Finally, GCF of Fractions for 3763/849, 1918/329 is 1/279321.